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This question is worth 4+6=10 marks

Weights of bags of potatoes are normally distributed with mean 26 kg. 

a. The probability that any bag weighs more than 25 kg is 0.85. Find the standard deviation of the

distribution, showing all working. (Give your answer in 4 decimal places).

b. Ten bags are chosen at random; the probability that at least

bags weigh more than 25 kg is about 82%.

Find the value of